AP Stats Tutorial

Exploring Data

• The basics
  • Variables
  • Population vs sample
  • Central tendency
  • Variability
  • Position
• Charts and graphs
  • Patterns in data
  • Dotplots
  • Histograms
  • Stemplots
  • Boxplots
  • Cumulative frequency plots
  • Scatterplots
  • Comparing distributions
• Regression
  • Scales of measurement
  • Correlation
  • Simple linear regression
  • Regression example
  • Residuals, outliers, etc.
  • Transformations for linearity
• Categorical data
  • One-way tables
  • Two-way tables

Planning a Study

• Data collection
• Survey sampling
  • Survey sampling methods
  • Bias in survey sampling
• Experiments
  • Introduction to experiments
  • Experimental design

Anticipating Patterns

• Probability
  • Introduction to probability
  • Rules of probability
• Random variables
  • Types of random variables
  • Probability distributions
  • Random variable attributes
  • Random variable combinations
  • Linear transformations
  • Simulation of random events
• Discrete variables
  • Binomial distribution
  • Geometric distribution
• Continuous variables
  • Normal distribution
  • Standard normal distribution
  • t Distribution
  • Chi-square distribution
• Sampling distributions
  • Sampling distributions
  • Difference between proportions
  • Difference between means

Statistical Inference

• Estimation
  • Estimation problems
  • Standard error
  • Margin of error
  • Confidence intervals
• Estimation problems
  • Proportions
  • Difference between proportions
  • Means
  • Difference between means
  • Difference between matched pairs
  • Regression slope
• Hypothesis testing
  • Tests of significance
  • Power of a hypothesis test
  • How to test hypotheses
• Hypothesis tests
  • Proportions
  • Difference between proportions
  • Mean
  • Difference between means
  • Difference between matched pairs
  • Chi-square goodness of fit test
  • Chi-square test for homogeneity
  • Chi-square test for independence
  • Regression slope

Appendices

• Practice Exam
• Notation
• AP Statistics Formulas